Question

Dan steps on the brakes in his toy car which causes a braking force of 700 N to the left.
a) If Dan’s car weighs 750 N, then what is the mass of Dan’s car?
b) What is the acceleration of Dan’s car?

Answer 1

Answer:

76.53 kg; 9.15 m/s² left.

Explanation:

Given the following data;

Weight of car = 750N

Applied force = 700N

a) To find mass

Weight can be defined as the force acting on a body or an object as a result of gravity.

Mathematically, $Weight, W = mg$

We know acceleration due to gravity is equal to 9.8 m/s²

Substituting into the equation;

$750 = m*9.8$

$Mass, m = \frac{750}{9.8}$

Mass, m = 76.53kg

b) To find the acceleration;

Force is given by the multiplication of mass and acceleration.

Mathematically, Force is;

$F = ma$

Where;

• F represents force.

• m represents the mass of an object.

• a represents acceleration.

Making acceleration (a) the subject, we have;

$Acceleration (a) = \frac{F}{m}$

Substituting into the equation;

$Acceleration (a) = \frac{700}{76.53}$

Acceleration (a) = 9.15 m/s² left.